114026598400 has 468 divisors, whose sum is σ = 334566309600. Its totient is φ = 38210764800.

The previous prime is 114026598397. The next prime is 114026598403. The reversal of 114026598400 is 4895620411.

114026598400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114026598397) and next prime (114026598403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114026598403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190361301 + ... + 190361899.

Almost surely, 2^114026598400 is an apocalyptic number.

114026598400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114026598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167283154800).

114026598400 is an abundant number, since it is smaller than the sum of its proper divisors (220539711200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114026598400 is a wasteful number, since it uses less digits than its factorization.

114026598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 114026598400 in words is "one hundred fourteen billion, twenty-six million, five hundred ninety-eight thousand, four hundred".